On chief factors of finite groups.

DOI10.1016/j.jpaa.2006.11.008zbMath1124.20011OpenAlexW1978214430MaRDI QIDQ886267

Nan Qing Ding, Xiao-Lei Liu

Publication date: 26 June 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.11.008

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupsSylow subgroupschief factorschief seriessolubilitycovering-avoidance

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Series and lattices of subgroups (20D30)

Related Items (6)

A Generalization of Cover-Avoiding Properties in Finite Groups ⋮ On \(p\)-CAP-subgroups of finite groups ⋮ On Semi Cover-Avoiding Maximal Subgroups of Sylow Subgroups of Finite Groups ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups. ⋮ On CAPSp*-subgroups of finite groups ⋮ Subalgebras that cover or avoid chief factors of Lie algebras

Cites Work

• Unnamed Item
• Pre-Frattini groups.
• A contribution to the theory of finite supersoluble groups
• The theory of finite groups. An introduction.
• Cover-avoidance properties and the structure of finite groups
• \(C\)-normality of groups and its properties
• Cover-Avoidance Properties in Finite Soluble Groups
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• On f-Prefrattini Subgroups

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